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Simplifying 5(x + -30) = -29(5 + -1x) Reorder the terms: 5(-30 + x) = -29(5 + -1x) (-30 * 5 + x * 5) = -29(5 + -1x) (-150 + 5x) = -29(5 + -1x) -150 + 5x = (5 * -29 + -1x * -29) -150 + 5x = (-145 + 29x) Solving -150 + 5x = -145 + 29x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-29x' to each side of the equation. -150 + 5x + -29x = -145 + 29x + -29x Combine like terms: 5x + -29x = -24x -150 + -24x = -145 + 29x + -29x Combine like terms: 29x + -29x = 0 -150 + -24x = -145 + 0 -150 + -24x = -145 Add '150' to each side of the equation. -150 + 150 + -24x = -145 + 150 Combine like terms: -150 + 150 = 0 0 + -24x = -145 + 150 -24x = -145 + 150 Combine like terms: -145 + 150 = 5 -24x = 5 Divide each side by '-24'. x = -0.2083333333 Simplifying x = -0.2083333333
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